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arXiv · 1806.03091

Load-dependent machine failures in production network models

Simone Göttlich·Stephan Knapp
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Abstract

In this paper, a production model based on (hyperbolic) differential equations with stochastic and load-dependent machine failures is introduced. We derive the model on the base of a well-established deterministic model and show its well-posedness. To do so, we make use of the theory of piecewise deterministic Markov processes and fuse it with the theory of the underlying deterministic production model. Finally, we compare the load-dependent model to the already established load-independent model and highlight the new properties in numerical examples.

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Simone Göttlich, Stephan Knapp. 2018-06-08. Load-dependent machine failures in production network models. https://doi.org/10.1137/18m1193177

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